In digital communications, both message and noise are modeled as WSS random processes. Consider a message m(t), whose autocorrelation function is Rm(t)-Ae** (watts). The message m() is corrupted by zero-mean additive white Gaussian noise (AWGN) n() of spectral strength No/2 (watts/hertz) and the received signal is r(t) = m(1) + n(1). You decide to filter the noise by passing r() through an ideal lowpass filter with bandwidth W. The procedure is depicted in block diagram form in Figure 2(c). m() n(1) r(1) Ideal LPF H() -W 0 W Figure 2(c) (i) Show that the PSD of the message is given by: m (1)+n_(1) Sm()-24/(1+42²f2), where -

In digital communications, both message and noise are modeled as WSS random processes. Consider a message m(t), whose autocorrelation function is Rm(t)-Ae** (watts). The message m() is corrupted by zero-mean additive white Gaussian noise (AWGN) n() of spectral strength No/2 (watts/hertz) and the received signal is r(t) = m(1) + n(1). You decide to filter the noise by passing r() through an ideal lowpass filter with bandwidth W. The procedure is depicted in block diagram form in Figure 2(c). m() n(1) r(1) Ideal LPF H() -W 0 W Figure 2(c) (i) Show that the PSD of the message is given by: m (1)+n_(1) Sm()-24/(1+42²f2), where -

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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